Pages of circles On page 1 of a book, there is one circle of radius 1.On page 2, there are two circles of radius 1/2. On page n, thereare 2n - 1 circles of radius 2-n + 1.a. What is the sum of the areas of the circles on page n of the book?b. Assuming the book continues indefinitely (n→ ∞), what is thesum of the areas of all the circles in the book?

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A: Use Taylor series expansion

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A: Given:

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.